Problem: Boboniu gives you

  * r red balls, 
  * g green balls, 
  * b blue balls, 
  * w white balls. 



He allows you to do the following operation as many times as you want: 

  * Pick a red ball, a green ball, and a blue ball and then change their color to white. 



You should answer if it's possible to arrange all the balls into a palindrome after several (possibly zero) number of described operations. 

Input

The first line contains one integer T (1≤ T≤ 100) denoting the number of test cases.

For each of the next T cases, the first line contains four integers r, g, b and w (0≤ r,g,b,w≤ 10^9).

Output

For each test case, print "Yes" if it's possible to arrange all the balls into a palindrome after doing several (possibly zero) number of described operations. Otherwise, print "No".

Example

Input


4
0 1 1 1
8 1 9 3
0 0 0 0
1000000000 1000000000 1000000000 1000000000


Output


No
Yes
Yes
Yes

Note

In the first test case, you're not able to do any operation and you can never arrange three balls of distinct colors into a palindrome.

In the second test case, after doing one operation, changing (8,1,9,3) to (7,0,8,6), one of those possible palindromes may be "rrrwwwbbbbrbbbbwwwrrr".

A palindrome is a word, phrase, or sequence that reads the same backwards as forwards. For example, "rggbwbggr", "b", "gg" are palindromes while "rgbb", "gbbgr" are not. Notice that an empty word, phrase, or sequence is palindrome.

Solution (in JAVA):

Solution:
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Scanner;
import java.io.*; 
import java.util.*; 

public class CFTemplate {
	
	
	public static void main(String[] args) {
		UsefulScanner us = new UsefulScanner();
		int cases = us.getInt();
		
		for(int i = 0; i < cases; i++) {
			int r = us.getInt();
			int g = us.getInt();
			int b = us.getInt();
			int w = us.getInt();
		
		
		
			if(r > 0 && g > 0 && b > 0) {
				if(r%2 + g %2 + b%2 + w%2 != 2) {
					System.out.println("YES");
				}
				else {
					System.out.println("NO");
				}
			}
			else {
				if(r%2 + g%2 + b%2 + w%2 <=1) {
					yes();
				}
				else {
					no();
				}
			}
		}
		
			
	}
	
	
	static void no() {
		System.out.println("NO");
	}
	static void yes() {
		System.out.println("YES");
	}
}
		
		
		
		
		
		/*int cases = us.getInt();
		
		for(int i = 0; i < cases; i++) {
			int n = us.getInt();
			int a = us.getInt();
			int b = us.getInt();
			int da = us.getInt();
			int db = us.getInt();
			int[][] edges = new int[n-1][2];
			for(int j = 0; j < n-1; j++) {
				edges[j][0] = us.getInt();
				edges[j][1] = us.getInt();
			}
			ArrayList<ArrayList<Integer>> eg = new ArrayList<ArrayList<Integer>>();
			
			
			for(int j = 0; j < n; j++) {
				ArrayList<Integer> temp = new ArrayList<Integer>();
				eg.add(temp);
			}
			for(int j = 0; j < n-1; j++) {
				eg.get(edges[j][0]).add(edges[j][1]);
				eg.get(edges[j][1]).add(edges[j][0]);
			}
			
			
			if(getWidth(eg) <= 2*da) {
				System.out.println("ALICE");
				
				
			}
			
			else if(getDistance(a, b, eg) < da) {
				System.out.println("ALICE");
			}
			
			else if(db < 2*da + 1) {
				System.out.println("ALICE");
				
			}
			
			else {
				System.out.println("BOB");
			}
			
			
			
			
			
			
			
			
		}
		
		
		
		
		
		
		
		
		
		
		
	}
	
	static int getDistance(int a, int b, ArrayList<ArrayList<Integer>> eg) {
		int[] change = new int[1];
		
		
		for(int j = 0; j < eg.get(a).size(); j++) {
			if(eg.get(a).get(j) == b) {
				return 1;
			}
			else {
				dfs(eg.get(a).get(j), b, eg, a, 1, change, false);
			}
		}
		return change[0];
		
		
	}
	
	
	static void dfs(int a, int b, ArrayList<ArrayList<Integer>> eg, int parent, int depth, int[] change, boolean found)  {
		if(!found) {
			for(int j = 0; j < eg.get(a).size(); j++) {
				if(eg.get(a).get(j) == b) {
					change[0] = depth+1;
					found = true;
					break;
				}
				else if(eg.get(a).get(j) != parent) {
					dfs(eg.get(a).get(j), b, eg, a, depth + 1, change, found);
				}
			}
		}
	}
	static int getWidth(ArrayList<ArrayList<Integer>> eg) {
		int[] maxvertex = {0};
		int[] max = {0};
		for(int j = 0; j < eg.get(0).size(); j++) {
			dfs2(eg.get(0).get(j), eg, 0, 1, max, maxvertex);
		}
		for(int j = 0; j < eg.get(maxvertex[0]).size(); j++) {
			dfs2(eg.get(maxvertex[0]).get(j), eg, 0, 1, max, maxvertex);
		}
		
		
		return max[0];
		
		
		
	}
	
	static void dfs2(int a, ArrayList<ArrayList<Integer>> eg, int parent, int depth, int[] max, int[] maxvertex) {
		if(eg.get(a).size() == 1) {
			if(depth > max[0]) {
				max[0] = depth;
				maxvertex[0] = a;
			}
		}
		
		for(int j = 0; j < eg.get(a).size(); j++) {
	
			if(eg.get(a).get(j) != parent) {
				dfs2(eg.get(a).get(j), eg, a, depth + 1, max, maxvertex);
			}
		}
	}
	*/
	
		
		

	
	

	


class UsefulScanner{
	
	
	
	Scanner sc;
	String currentLine = "";
	int numLines;
	int lineCounter;
	
	public UsefulScanner() {
		
		sc = new Scanner(System.in);
		
		
		
	}
	
	
	
	ArrayList<Integer> getLineOfIntsList() {
		update();
		String str = currentLine;
		ArrayList<Integer> output = new ArrayList<Integer>();
		while(!str.isEmpty()) {
			if(str.contains(" ")) {
				
				output.add(Integer.parseInt(str.substring(0, str.indexOf(" "))));
				str = str.substring(str.indexOf(" ") + 1, str.length());
			}
			else {
				output.add(Integer.parseInt(str));
				str = "";
				currentLine = "";
			}
		}
		
		return output;
	}
	
	
	void update() {
		if(currentLine.isEmpty()) {
			currentLine = sc.nextLine();
		}
	}
	
	
	int getInt() {
		update();
		if(currentLine.contains(" ")) {
			String s = currentLine.substring(0, currentLine.indexOf(" "));
			currentLine = currentLine.substring(currentLine.indexOf(" ") + 1, currentLine.length());
			return Integer.parseInt(s);
		}
		int x = Integer.parseInt(currentLine);
		currentLine = "";
		return x;
		
		
	}
	
	
	char[] getCharArray() {
		update();
		int length = currentLine.length();
		
		char[] output = new char[length];
		
		for(int i = 0; i < length; i++) {
			output[i] = currentLine.charAt(i);
		}
		
		currentLine = "";
		return output;
	}
	
	
	
	String getLine() {
		String s = currentLine;
		currentLine = "";
		return s;
	}
	String getBlock() {
		update();
		
		if(currentLine.contains(" ")) {
			String s = currentLine.substring(0, currentLine.indexOf(" "));
			currentLine = currentLine.substring(currentLine.indexOf(" ") + 1, currentLine.length());
			return s;
		}
		String s = currentLine;
		currentLine = "";
		return s;
	}
	
	int[] getIntArray() {
		ArrayList<Integer> outputList = getLineOfIntsList();
		int[] output = new int[outputList.size()];
		for(int i = 0; i < outputList.size(); i++) {
			output[i] = outputList.get(i);
		}
		return output;
		
	}
	
	String nextLine() {
		lineCounter++;
		if(lineCounter <= numLines) {
			return sc.next();
		}
		else return "";
		
	}
	
	void next() {
		currentLine = sc.next();
	}
	
	
	
}